Leptonic Antimatter from UD Duality: Phase Flip, Annihilation, and Dark Matter Conversion

We present a complete derivation of leptonic antimatter from the UD field equations. The critical equilibrium condition m0²⟨DU |DD⟩ = α⟨DU |UD|DU ⟩ governs positron production via phase flip. At the critical point, the first-order effective potential vanishes, and the second-order potential V_eff^(2)(θ) = −C cos(2(θ − θD)) drives the phase to the adjacent minimum at θ = θD + π, defining antimatter as Δθ = π. In a background-free environment, the antimatter state is metastable, with lifetime determined by quantum tunneling. In ordinary matter environments, electron-positron annihilation releases Eann = 2mec² = 1.022 MeV, producing two 511 keV photons. The removal of the λDU binding term leaves DD satisfying a homogeneous equation whose solution is a diffuse D-attribute in space—by definition, UD, establishing the conversion DD → UD. The electron and photon are identified through the spinor and vector projections of the DU and UD fields. Four mutually exclusive annihilation channels are derived, each dominating in distinct parameter regimes with quantitatively specified conditions. All coupling constants are either fixed by the UD background or derived from the action; the fine structure constant α is identified with the UD evolution constant and its experimental value is used. All results follow from the field equations.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20288740
Primary Topic
Muon and positron interactions and applications
Type
preprint
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preprint

Leptonic Antimatter from UD Duality: Phase Flip, Annihilation, and Dark Matter Conversion

Dan Zhu
Zenodo (CERN European Organization for Nuclear Research)
Muon and positron interactions and applications
preprint

Leptonic Antimatter from UD Duality: Phase Flip, Annihilation, and Dark Matter Conversion

Dan Zhu
preprint en

Abstract

We present a complete derivation of leptonic antimatter from the UD field equations. The critical equilibrium condition m0²⟨DU |DD⟩ = α⟨DU |UD|DU ⟩ governs positron production via phase flip. At the critical point, the first-order effective potential vanishes, and the second-order potential V_eff^(2)(θ) = −C cos(2(θ − θD)) drives the phase to the adjacent minimum at θ = θD + π, defining antimatter as Δθ = π. In a background-free environment, the antimatter state is metastable, with lifetime determined by quantum tunneling. In ordinary matter environments, electron-positron annihilation releases Eann = 2mec² = 1.022 MeV, producing two 511 keV photons. The removal of the λDU binding term leaves DD satisfying a homogeneous equation whose solution is a diffuse D-attribute in space—by definition, UD, establishing the conversion DD → UD. The electron and photon are identified through the spinor and vector projections of the DU and UD fields. Four mutually exclusive annihilation channels are derived, each dominating in distinct parameter regimes with quantitatively specified conditions. All coupling constants are either fixed by the UD background or derived from the action; the fine structure constant α is identified with the UD evolution constant and its experimental value is used. All results follow from the field equations.

Zenodo (CERN European Organization for Nuclear Research)
Muon and positron interactions and applications
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